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Published in:
2003 | OriginalPaper | Chapter
Maximum Entropy Principle, Information of Non-Random Functions and Complex Fractals
Author : Guy Jumarie
Published in: Entropy Measures, Maximum Entropy Principle and Emerging Applications
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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In this paper, we give two new applications of the maximum entropy principle (MEP). First, we show how the MEP provides a meaningful approach to defining the entropy of non-random functions. And then, we use the MEP to obtain an estimate of the probability distribution of complex-valued fractional Brownian motion defined as the limit of a random walk on the complex roots of the unity in the complex plane, thus exhibiting a relation between complex fractals and thermodynamics of order n.